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Finding the Fourth Proportional to 5,278.81, 7,920.97 and 3,829.92

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Solution

The fourth proportional to 5,278.81, 7,920.97 and 3,829.92 is: 5,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.81 : 7,920.97 = 3,829.92 : x
  2. Step 2: Convert to fraction form
    5,278.81/7,920.97 = 3,829.92/x
  3. Step 3: Cross multiply
    5,278.81x = 7,920.97 × 3,829.92
  4. Step 4: Simplify right side
    5,278.81x = 30,336,681.42
  5. Step 5: Solve for x
    x = 30,336,681.42/5,278.81
  6. Step 6: Final answer
    x = 5,746.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.